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vovangra [49]
2 years ago
10

Rachael’s employer matches 16% of Rachel’s contribution to her 401k plan. If racheals employer contributed $400 to the plan a ye

ar , how much did racheal contribute to the plan last year
Mathematics
2 answers:
Butoxors [25]2 years ago
4 0
If x is Rachael's contributions
400=16%x
2,500=x

Rachael contributed $2,500 to her 401k last year
olga2289 [7]2 years ago
3 0

Answer:

$2500.

Step-by-step explanation:

Let x be represent the amount contributed by Rachael's to her 401(k) plan.

We have been given that Rachael’s employer matches 16% of Rachel’s contribution to her 401(k) plan. Rachael's employer contributed $400 to the plan a year.

We need to find x such that 16% of x is $400.

\frac{16}{100}*x=\$400

0.16*x=\$400

\frac{0.16*x}{0.16}=\frac{\$400}{0.16}

x=\$2500

Therefore, Rachael contributed $2500 to the plan last year.

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Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%. Its current value is $2,000. The equ
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I hope the equation will be 2000=16000(1-r)^t because t is missing in the equation which we need to find.

Given rate: r= 35%= 0.35.

So, first step is to plug in 0.35 for r in the given formula to get the value of t.

Hence, the equation will be:

2000=16000(1-0.35)^t

2000=16000(0.65)^t (By subtraction)

2000/16000= 16000(0.65)^t /16000 (Dividing each sides by 16000)

0.125 = 0.65^t (By simplifying).

log 0.125 = log 0.65^t (Taking log each sides to isolate t).

log 0.125 = t log 0.65 (By applying the log property).

\frac{log 0.125}{log 0.65} =t (Dividing each sides by log 0.65)

-0.903/-0.187 =t

t= 4.83

t= 5 ( Rounded to nearest integers)

So, Devon's car is 5 years old.

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2 years ago
This semester, the tuition fee increased to $5,871. If this represents an increase by 14%, what was the original fee?
MissTica
Use a calculator its easy
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2 years ago
A firm places three orders for supplies among five different distributors. Each order is randomly assigned to one of the distrib
Whitepunk [10]

Answer:

a) 12/25

b) 1/25

c) 12/25

Step-by-step explanation:

a) The first order can go anywhere, so it has 5 possibilities out of 5. The second order can go to any distributor except the one that got the first order, so it has 4 possibilities out of 5. The third order may go to any of the 3 remaining distributors, giving us 3 chances out of 5. So the probability is 5/5*4/5*3/5 = 12/25

b) The first order, again, can go anywhere, so it has 5 out of 5. The second and third order have to go to the same distributor, so, in each case, we have only 1 option available out of 5. The probability of this event is 5/5*1/5*1/5 = 1/25

c) This event is the complementary event of the union of the other 2 events the exercise has. If neither the same distributor got all 3 orders non all orders go to different distributors, then necessarily one distributor should got 2 orders and other 1. The probability of this event is, therefore 1-12/25-1/25 = 12/25.

8 0
2 years ago
A cyclist rides at an average speed of 31 miles per hour. The cyclist’s speed, s, can differ from the average by as much as 8 mi
Shalnov [3]
In this compound inequality X should be 8.
4 0
2 years ago
Read 2 more answers
In ΔBCA, CA = 15 cm, CF = 7 cm, BH = 3 cm. Find the perimeter of ΔBCA.
evablogger [386]

Answer:

The perimeter of the triangle is equal to 36 cm

Step-by-step explanation:

we know that

The inscribed circle contained in the triangle BCA is tangent to the three sides

we have that

BF=BH

CF=CG

AH=AG

step 1

Find CG

we know that

CF=CG

so

CF=7 cm

therefore

CG=7 cm

step 2

Find AG

we know that

CA=AG+CG

we have

CA=15 cm

CG=7 cm

substitute

15=AG+7

AG=15-7=8 cm

step 3

Find AH

Remember that

AG=AH

we have

AG=8 cm

therefore

AH=8 cm

step 4

Find BF

Remember that

BF=BH

BH=3 cm

therefore

BF=3 cm

step 5

Find the perimeter of the triangle

P=AH+BH+BF+CF+CG+AG

substitute the values

P=8+3+3+7+7+8=36 cm

7 0
2 years ago
Read 2 more answers
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